637936 ÷ 37 
Our goal is to divide 637936 by 37.

Step 1:
If we divide 6 by 37, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 37

Advancing to step 2:
37 can be fit into 63 1 times, resulting in a remainder of 26.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 37 from 63, we get 26.
Take the next digit (7) from the dividend and append it to 26, then repeat: 267 / 37

Step 3:
When dividing 267 by 37, we get 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 17.0
The remainder is 8 after subtracting 259 from 267.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 37

On to step 4:
When dividing 89 by 37, we get 2 with a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 172.0
Deduct 74 from 89 and we're left with 15.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 37

Going ahead to step 5:
37 can be fit into 153 4 times, resulting in a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 1724.0
If we take 148 away from 153, we end up with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 37

Going ahead to step 6:
If we divide 56 by 37, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 17241.0
Subtract 37 from 56 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
37 can be fit into 190 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 17241.5
Subtracting 185 from 190 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
When dividing 50 by 37, we get 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 17241.51
If we subtract 37 from 50, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
The number 37 fits into 130 3 times, leaving a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 17241.513
The remainder is 19 after subtracting 111 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 10:
The number 37 fits into 190 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 17241.5135
Subtract 185 from 190 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
50 divided by 37 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 17241.51351
Deduct 37 from 50 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 12:
130 divided by 37 is 3 with a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 17241.513513
Subtract 111 from 130 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 13:
37 can be fit into 190 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 17241.5135135
The remainder is 5 after subtracting 185 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 14:
If we divide 50 by 37, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 17241.51351351
Subtracting 37 from 50 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final outcome is 17241.51351351, with a leftover of 1.3e-08.